Error estimates for space-time discretizations of a rate-independent
variational inequality

This paper deals with error estimates for space-time discretizations in the context of evolutionary variational inequalities of rate-independent type. After introducing a general abstract evolution problem, we address a fully-discrete approximation and provide a priori error estimates. The application of the abstract theory to a semilinear case is detailed. In particular, we provide explicit space-time convergence rates for the isothermal Souza-Auricchio model for shape-memory alloys.

Keywords

Shape-memory materials, evolutionary variational inequalities, rate-independent processes, space-time discretization, error estimates

URI

https://doi.org/10.34657/2300
https://oa.tib.eu/renate/handle/123456789/2109

Citation

Mielke, A., Paoli, L., Petrov, A., & Stefanelli, U. (2009). Error estimates for space-time discretizations of a rate-independent variational inequality (Vol. 1407). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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Mathematik

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